The Phase of the Riemann Zeta Function and the Inverted Harmonic Oscillator

Details The Phase of the Riemann Zeta Function and the Inverted Harmonic Oscillator The Phase of the Riemann Zeta Function and the Inverted Harmonic Oscillator

1994-06-16

arxiv.org/abs/chao-dyn/9406006v1

Phys.Rev. E52 (1995) 486

Physics

High Energy Physics

High Energy Physics - Theory

4 pages of postscript file with embeded figures, in uuencoded tar format

Scientific paper

10.1103/PhysRevE.52.486

The Argand diagram is used to display some characteristics of the Riemann Zeta function. The zeros of the Zeta function on the complex plane give rise to an infinite sequence of closed loops, all passing through the origin of the diagram. This leads to the analogy with the scattering amplitude, and an approximate rule for the location of the zeros. The smooth phase of the Zeta function along the line of the zeros is related to the quantum density of states of an inverted oscillator.

Affiliated with

Also associated with

No associations

Rating

The Phase of the Riemann Zeta Function and the Inverted Harmonic Oscillator does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Phase of the Riemann Zeta Function and the Inverted Harmonic Oscillator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Phase of the Riemann Zeta Function and the Inverted Harmonic Oscillator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-571505